The equation y=21.2x represents Austin's earnings in dollars and cents, y,
for working x hours. Find the rate of change.


Answers

Answer 1

Given:

The equation is

[tex]y=21.2x[/tex]

Where, y is earnings for working in dollars and cents and x is the number of working hours.

To find:

The rate of change.

Solution:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]          ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=21.2x[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]m=21.2[/tex]

Therefore, the rate of change is 21.2 dollar and cents per hour.


Related Questions

1. A decorative rug in an office building has
the dimensions shown. What is the area of
the rug?
A. 72 m2
B. 36 m2
C. 18 m2
16 m2

Answers

Answer:

72

Step-by-step explanation:

The answer is 72 my friend

how can tell if a table values is proportional

Answers

Answer:

You can

Step-by-step explanation:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them.

Answer:

To tell if a table values are proportional, the x and the y value should have a common factor. When the numbers are all divided by their common factor, the points should all be equal to each other.


Determine the unknown side of the similar triangle.
A)
2
B)
3
D)
5

Answers

I think it is C so it would be 4
the answer would be c. 4

Need an answer for p and q

Answers

74-p

20-q

I think this is right

rain fell at the steady rate of 2 inches every 3 hours.

Answers

what is your question then?

Answer:

wow that's a lot of rain

Step-by-step explanation:

(It falls at a rate of 2/3 of an inch per hour if that's what you were having trouble with??)

Let y=f(x) be the particular solution to the differential equation dy/dx=(2x−1)/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x) ?

Answers

Answer:

y=  (3x^2-3x+27)^1/3

Step-by-step explanation:

25+25+25+25+25+25+25

Answers

Answer:

175

Step-by-step explanation:

25(7) = 175

Answer: 175

Step-by-step explanation:

25+25+25+25+25+25+25=175

25 x 7 =175

please i really need hel
p!​

Answers

Answer:

x=2-11y/3 hope this helps!

A group of friends wants to go to the amusement park. They have no more than $ 100 to spend on parking and admission. Parking is $ 8, and tickets cost $ 23 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.

Answers

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

560≥19.75x+19.25

Step-by-step explanation:

i just figured

need help fast thank you

Answers

Answer:

422.5

Step-by-step explanation:

Given,

Diameter = 23.2

Radius = 23.2 ÷ 2 = 11.6

So, Area is

[tex] = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 11.6 \times 11.6[/tex]

= 422.5184

As rounding to nearest tenth we check the hundreth digit i. e.

422.5184

Since, 1 is smaller than 5 so,

422. 5 (Ans) (Rounded to nearest tenth)

Triangle A'B'C' is the result of translating ABC by 6 units to the right and 2 units down. Select all of the correct statments about the unchanged properties of ABC and A'B'C'​

Answers

Answer:

The correct answers are A and C.

Step-by-step explanation:

Answer: A + C

Step-by-step explanation:

i got it right

find the height
10cm 8cm
h=

Answers

Answer:

h = [tex]\sqrt{84}[/tex] cm

Step-by-step explanation:

The radius, height h and slant height form a right triangle.

radius r = 8 ÷ 2 = 4, hypotenuse = 10

Using Pythagoras' identity in the right triangle

h² + 4² = 10²

h² + 16 = 100 ( subtract 16 from both sides )

h² = 84 ( take the square root of both sides )

h = [tex]\sqrt{84}[/tex] cm

the lablel on a 1/2- pound bag of wildflower seeds states that it will cover an area of 375 square feet . based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover.​

Answers

Answer: so a 1 and 1/2 bag will cover 375

1=2/2

1 and 1/2=2/2 and 1/2=3/2

so 3/2 pound covers 375

2/2 pounds covers x

3/2pound=375

multiply both sides by 2 to get rid of the fraciton

3pound=750

divide both sides by 3

1pound=250 square feet so the answer is c. 250 square feet

Step-by-step explanation:

Which of these is not a trait of cnidarians?
spicules
a mouth
stinging cells
nervous system

Answers

Answer:

A. mount

Step-by-step explanation:

Semoga bermanfaat

Which of these is not a trait of cnidarians?

spicules

a mouth

stinging cells

nervous system

Answer:

the answer is C

Step-by-step explanation:

can you help me asap please

Answers

Answer:

-2, 4. -2 is x and 4 is y

Step-by-step explanation:

hope this helps!

6 cm 8 cm what will be the perimeter and the area of the rectangular below if it is enlarged using factor of 6.5

Answers

Answer:

The dimensions of the enlarged rectangle are 6*6.5 cm by 8*6.5 cm, or 39 by 52 cm. The area of this rect. is therefore (39 cm)(52 cm) = 2028 cm^2. The perimeter of the original rectangle is P = 2(6 cm) + 2(8 cm) = 28 cm. The perimeter of the enlarged rectangle is P = 2(39) + 2(48) = 174 cm.

Step-by-step explanation:

Find the largest perfect square that divides 350584416

Answers

7644 squared by 6 I am not sure if that’s what you were asking for but that’s what you get if you square 350584416

The largest perfect square that divides 350584416 is 58430736

The number is given as: 350584416

Express the number as the product of its factors

350584416 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 7 x 13 x 13

Express the numbers as exponents

350584416 = 2^5 * 3^3 * 7^4 * 13^2

Rewrite the product as:

350584416 = 2^4 *2 * 3^2 * 3 * 7^4 * 13^2

Reorder the factors

350584416 = 2^4 * 3^2 * 7^4 * 13^2  * 2 * 3

Express the product as a product of a perfect square

350584416 = (2^2 * 3 * 7^2 * 13)^2  * 2 * 3

Write out the perfect square (k)

k = (2^2 * 3 * 7^2 * 13)^2

Evaluate the product

k = (7644)^2

Evaluate the exponent

k = 58430736

Hence, the largest perfect square that divides 350584416 is 58430736

Read more about perfect squares at:

https://brainly.com/question/16450266

The recipe to make baked pears for every 4 pears, you need 2 cups of yogurt and 6 tablespoons of granola. What is the ratio of cups of yogurt to tablespoons of granola? *

4:2
1:2
6:2
1:3

Answers

Answer:

1:3

Step-by-step explanation:

yogurt to granola

in the original story it is 2 to 6

that can be simplified to 1 to 3 or 1:3

Help me with this!!!

Answers

Answer:

-7

Step-by-step explanation:

How would you solve this

Answers

Answer:

I don't know sorry but I think it's multipleucatuon

Which expression is equivalent to -3(4-2g)-6?

Answers

Answer:

6g-6 will be the answer

Step-by-step explanation:

[-3(-2g)+(-3)(4)]-6

6g(-12-6)

6g-6

Help please
Marking brainiest

Answers

Answer:

279 ft²

Step-by-step explanation:

A=bh

A=16x16

A=256

Subtract the area of island

A=bh

A=3x7

A=21

256-21=235

Then you have to find the area of the trapezoid at the top, which is a reactangle and then two smaller triangles

A=bh

A=10x4

A=40

A=1/2bh

A=4x1x1/2

A=2

Multiply it by two because there are 2 of them

2x2=4

40+4=44

The area of the main part is 235 and the area of the side section is 44.

Add them together

235+44=279 ft²

Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $106,200?

Answers

Answer:17

Step-by-step explanation:

The time taken for her to reach the amount of $106,200 will be 17 years.

What is compound interest?

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that:-

Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously.

The formula for calculating the compound interest continuously.

[tex]A \ = \ P e^ {rt}[/tex]

[tex]106200\ = \ 54000e^{0.04t}\\\\\\\dfrac{106200}{54000}=e^{0.04t}\\\\\\1.97\ = \ e^{0.04t}\\\\\\Ln(1.97)=Ln(e^{0.04t})[/tex]

Ln(1.97) = 0.04t

t  =   17 years.

Therefore the time taken for her to reach the amount of $106,200 will be 17 years.

To know more about Compound interest follow

https://brainly.com/question/24924853

#SPJ2

Frank borrowed money from his dad to buy a motorcycle. To repay his loan, Frank paid his dad $200 each month. After 14 months, his
remaining debt was $3,200.
• Rrepresents the remaining debt at a given time.
• L represents the original loan amount.
• T represents the time (in months).
Which THREE statements are correct?
A)
The original loan amount was $6,000.
B)
It will take Frank 16 months to pay back his dad.
C)
It will take Frank 30 months to pay back his dad.
D)
The equation R-L-200T can be used to model this situation.
E)
The equation L=R-200T can be used to model this situation.

Answers

Answer:

it is e

Step-by-step explanation:

Answer:

C, A, D

Step-by-step explanation:

The original loan amount was $6,000,

It will take Frank 30 months to pay back his dad,

The equation R = L − 200T can be used to model this situation.

-r/3 = 11
(I know how to do it but I keep on getting the positive and negative signs wrong plsss help)

Answers

Answer:

r = -33

Step-by-step explanation:

-r/3 = 11

Multiply each side by -3 to isolate r

-3 * -r/3 = 11 * -3

r = -33

Help? which one should I choose

Answers

Answer:

the second

Step-by-step explanation:

Solve these algebraic expression and make it them into one simplified expression
(There are two parts)

Answers

Step-by-step explanation:

Equation 1

[tex]\frac{m^2}{6} -\frac{9}{4m}\\\\ by\ taking\ LCM\\\\ \frac{2m^3-27}{12m}[/tex]

Equation 2

[tex]\frac{x^3}{w} -\frac{2}{wx^2}\\\\ by\ taking\ LCM\\\\ \frac{x^5-2}{wx^2}[/tex]

Please help me and type out the answer

Answers

Answer:

The owner makes $2 in sales per customer

Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.

Step-by-step explanation:

If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.

Answer:

the owner makes 2 dollars in sales every week

Step-by-step explanation:

on the chart/graph it shows 6 new customers every week and if you want to see how much more money the owner makes off of each customer then...

subtract the first weeks number of customers from the second weeks to get the answer of 6 new customers per week as you can see on the chart/graph (this really isnt to important though)

then divide the total number of customers for 1 week by the profits made for that week to get an answer of 2 dollars for customers.

(i hope you understand because i just confused myself with my own explanation)

help help help





blah blah blah

Answers

Answer:

It is c blah blah blah

Step-by-step explanation:

pls give brainliest blah blah blah

Answer:

?

Step-by-step explanation:

Find the product. Write your answer in scientific notation.

(7 x 10^-2) (8 x 10^5) =

Answers

Answer:

7×10^(-2)×8×10^5 = 56000

convert to scientific notation = 5.6 × 10^4

(scientific notation)

= 5.6e4

(scientific e notation)

= 56 × 10^3

(engineering notation)

(thousand; prefix kilo- (k))

= 56000

(real number)

Step-by-step explanation:

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